1331160100 has 72 divisors (see below), whose sum is σ = 2998080680. Its totient is φ = 512593920.

The previous prime is 1331160097. The next prime is 1331160107. The reversal of 1331160100 is 10611331.

It can be written as a sum of positive squares in 12 ways, for example, as 257025024 + 1074135076 = 16032^2 + 32774^2 .

It is not an unprimeable number, because it can be changed into a prime (1331160107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 357046 + ... + 360754.

Almost surely, 2^1331160100 is an apocalyptic number.

1331160100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1331160100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499040340).

1331160100 is an abundant number, since it is smaller than the sum of its proper divisors (1666920580).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1331160100 is a wasteful number, since it uses less digits than its factorization.

1331160100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3857 (or 3850 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 1331160100 is about 36485.0668082162. The cubic root of 1331160100 is about 1100.0441029149.

Adding to 1331160100 its reverse (10611331), we get a palindrome (1341771431).

The spelling of 1331160100 in words is "one billion, three hundred thirty-one million, one hundred sixty thousand, one hundred".